QSMSOR iterative method for the solution of 2D homogeneous Helmholtz equations

In this paper, we consider the numerical solutions of homogeneous Helmholtz equations of the second order. The Quarter-Sweep Modified Successive Over-Relaxation (QSMSOR) iterative method is applied to solve linear systems generated form discretization of the second order homogeneous Helmholtz equati...

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Main Authors: Md Akhir, M.K., Othman, M., Suleiman, M., Majid, Z.A., Sulaiman, J., Muthuvalu, M.S., Aruchuan, E.
Format: Article
Institution: Universiti Teknologi Petronas
Record Id / ISBN-0: utp-eprints.31824 /
Published: Hikari Ltd. 2014
Online Access: https://www.scopus.com/inward/record.uri?eid=2-s2.0-84921761048&doi=10.12988%2fijma.2014.48237&partnerID=40&md5=03ee3f480df5bfaeebb14761c68d41d5
http://eprints.utp.edu.my/31824/
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spelling utp-eprints.318242022-03-29T03:30:11Z QSMSOR iterative method for the solution of 2D homogeneous Helmholtz equations Md Akhir, M.K. Othman, M. Suleiman, M. Majid, Z.A. Sulaiman, J. Muthuvalu, M.S. Aruchuan, E. In this paper, we consider the numerical solutions of homogeneous Helmholtz equations of the second order. The Quarter-Sweep Modified Successive Over-Relaxation (QSMSOR) iterative method is applied to solve linear systems generated form discretization of the second order homogeneous Helmholtz equations using quarter sweep finite difference (FD) scheme. The formulation and implementation of the method are also discussed. In addition, numerical results by solving several test problems are included and compared with the conventional iterative methods. © 2014 Mohd Kamalrulzaman Md Akhir et al. Hikari Ltd. 2014 Article NonPeerReviewed https://www.scopus.com/inward/record.uri?eid=2-s2.0-84921761048&doi=10.12988%2fijma.2014.48237&partnerID=40&md5=03ee3f480df5bfaeebb14761c68d41d5 Md Akhir, M.K. and Othman, M. and Suleiman, M. and Majid, Z.A. and Sulaiman, J. and Muthuvalu, M.S. and Aruchuan, E. (2014) QSMSOR iterative method for the solution of 2D homogeneous Helmholtz equations. International Journal of Mathematical Analysis, 8 (49-52). pp. 2493-2505. http://eprints.utp.edu.my/31824/
institution Universiti Teknologi Petronas
collection UTP Institutional Repository
description In this paper, we consider the numerical solutions of homogeneous Helmholtz equations of the second order. The Quarter-Sweep Modified Successive Over-Relaxation (QSMSOR) iterative method is applied to solve linear systems generated form discretization of the second order homogeneous Helmholtz equations using quarter sweep finite difference (FD) scheme. The formulation and implementation of the method are also discussed. In addition, numerical results by solving several test problems are included and compared with the conventional iterative methods. © 2014 Mohd Kamalrulzaman Md Akhir et al.
format Article
author Md Akhir, M.K.
Othman, M.
Suleiman, M.
Majid, Z.A.
Sulaiman, J.
Muthuvalu, M.S.
Aruchuan, E.
spellingShingle Md Akhir, M.K.
Othman, M.
Suleiman, M.
Majid, Z.A.
Sulaiman, J.
Muthuvalu, M.S.
Aruchuan, E.
QSMSOR iterative method for the solution of 2D homogeneous Helmholtz equations
author_sort Md Akhir, M.K.
title QSMSOR iterative method for the solution of 2D homogeneous Helmholtz equations
title_short QSMSOR iterative method for the solution of 2D homogeneous Helmholtz equations
title_full QSMSOR iterative method for the solution of 2D homogeneous Helmholtz equations
title_fullStr QSMSOR iterative method for the solution of 2D homogeneous Helmholtz equations
title_full_unstemmed QSMSOR iterative method for the solution of 2D homogeneous Helmholtz equations
title_sort qsmsor iterative method for the solution of 2d homogeneous helmholtz equations
publisher Hikari Ltd.
publishDate 2014
url https://www.scopus.com/inward/record.uri?eid=2-s2.0-84921761048&doi=10.12988%2fijma.2014.48237&partnerID=40&md5=03ee3f480df5bfaeebb14761c68d41d5
http://eprints.utp.edu.my/31824/
_version_ 1741197642589798400
score 11.62408

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